#16508: Add Commutative graded differential algebras.
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       Reporter:  mmarco             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  algebra            |   Resolution:
       Keywords:  sd58, sd59,        |    Merged in:
  algebras, nonconmutative, graded   |    Reviewers:  Travis Scrimshaw
        Authors:  Miguel Marco,      |  Work issues:
  John Palmieri                      |       Commit:
Report Upstream:  N/A                |  7b6f118fda2362a592f6d627c608674166ee5841
         Branch:                     |     Stopgaps:
  public/algebras/cdga-16508         |
   Dependencies:  #17224             |
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Comment (by tscrim):

 Replying to [comment:43 jhpalmieri]:
 > What syntax are you imagining? `A.differential().cohomology()`?
 Something like this would not be discoverable by tab completion. I think
 it makes a lot of sense to have a class for commutative DG algebras, and
 for instances of those, you should be able to call `B.cohomology()`, etc.

 That's no more tab completable than `A.CDGAlgebra().cohomology()`. The
 semantic would be `d = A.differential({some: data})`. However I'm not
 saying that removing the `CDGAlgebra` class is the best or right thing to
 do based on my current data/ideas. Yet I'm thinking of putting the
 actually implementations in the differential class and having
 `CDGAlgebra`'s corresponding methods call the corresponding differential's
 method in case we want to remove the class. IMO those methods fits
 naturally with the differential as well.

--
Ticket URL: <http://trac.sagemath.org/ticket/16508#comment:44>
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